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LCM of 979, 104, 478, 534

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 979, 104, 478, 534 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 979, 104, 478, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,104,478,534

Given numbers are 979,104,478,534

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 979,104,478,534 is 73002072.

Find LCM of 979,104,478,534 with Prime Factorization


2 979, 104, 478, 534
89 979, 52, 239, 267
11, 52, 239, 3

Multiply the prime numbers at the bottom and the left side.

2 x 89 x 11 x 52 x 239 x 3 = 73002072

Therefore, the lowest common multiple of 979,104,478,534 is 73002072.

LCM Formula to Find Lowest Common Multiple of 979,104,478,534

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

979 x 104 x 478 x 534 = 25988737632

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

979 : 1, 11, 89, 979

104 : 1, 2, 4, 8, 13, 26, 52, 104

478 : 1, 2, 239, 478

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,104,478,534, is 1.

Now, the common factors can be found like this.

979:11x 89

104:2x 2x 2x 13

478:2x 239

534:2x 3x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 89 = 356

Therefore, the value for common factors is 356.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 25988737632/(1x356)

LCM = 25988737632/356

LCM = 73002072

Thus, we can understand that the LCM of 979,104,478,534 is 73002072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 104, 478, 534

1. What is the LCM of 979, 104, 478, 534?

Answer: LCM of 979, 104, 478, 534 is 73002072.

2. How to calculate the LCM of 979, 104, 478, 534?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 979, 104, 478, 534.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.